Answer:
The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9. [tex]log_{4}7[/tex].
[tex]log_{4}7=1.404\\[/tex]
Step-by-step explanation:
From the general properties or laws of logarithm, we have the
[tex]log_{a}b=\frac{logb}{loga} \\[/tex]
where both log are now express in the natural logarithm base.
i.e [tex]log_{a}b=\frac{lnb}{lna}\\[/tex]
hence we can express our [tex]log_{4}7=\frac{ln7}{ln4} \\[/tex].
the value of ln7 is 1.9459 and ln4 is 1.3863
Hence [tex]log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\[/tex].
[tex]log_{4}7=1.404\\[/tex]
